Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition

Abstract

We theoretically consider transport properties of a normal metal (N)- superconducting semiconductor nanowire (S)-normal metal (N) structure (NSN) in the context of the possible existence of Majorana bound states in disordered semiconductor-superconductor hybrid systems in the presence of spin-orbit coupling and Zeeman splitting induced by an external magnetic field. We study in details the transport signatures of the topological quantum phase transition as well as the existence of the Majorana bound states in the electrical transport properties of the NSN structure. Our theory includes the realistic nonperturbative effects of disorder, which is detrimental to the topological phase (eventually suppressing the superconducting gap completely), and the effects of the tunneling barriers (or the transparency at the tunneling NS contacts), which affect (and suppress) the zero bias conductance peak associated with the zero energy Majorana bound states. We show that in the presence of generic disorder and barrier transparency the interpretation of the zero bias peak as being associated with the Majorana bound state is problematic since the nonlocal correlations between the two NS contacts at two ends may not manifest themselves in the tunneling conductance through the whole NSN structure. We establish that a simple modification of the standard transport measurements using conductance differences (rather than the conductance itself as in a single NS junction) as the measured quantity can allow direct observation of the nonlocal correlations inherent in the Majorana bound states and enables the mapping out of the topological phase diagram (even in the presence of considerable disorder) by precisely detecting the topological quantum phase transition point.

arXiv comment34 pages, 7 figures, 1 table. New version with minor modifications and more physical discussions

References in corpus (60)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Random-Matrix Theory of Quantum Transport
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana Fermion Induced Resonant Andreev Reflection
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Majorana fermions in chains of magnetic atoms on a superconductor
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Tunneling characteristic of a chain of Majorana bound states
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Splitting of a Cooper pair by a pair of Majorana bound states
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Majorana Fermions in Semiconductor Nanowires
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
• Class D spectral peak in Majorana quantum wires
• Search for Majorana fermions in multiband semiconducting nanowires
• Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Subtle leakage of a Majorana mode into a quantum dot
• Probability distribution of Majorana end-state energies in disordered wires
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Interplay of disorder and interaction in Majorana quantum wires
• Soft Superconducting Gap in Semiconductor Majorana Nanowires
• Experimental and materials considerations for the topological superconducting state in electron and hole doped semiconductors: searching for non-Abelian Majorana modes in 1D nanowires and 2D heterostructures
• Topological phases, Majorana modes and quench dynamics in a spin ladder system
• Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices
• Density of states of disordered topological superconductor-semiconductor hybrid nanowires
• Localization and delocalization in dirty superconducting wires
• Localization in disordered superconducting wires with broken spin-rotation symmetry
• Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires
• Evanescent states and non-equilibrium in driven superconducting nanowires
• Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
• Soft superconducting gap in semiconductor-based Majorana nanowires
• Cross-correlations mediated by Majorana bound states
• Electrical detection of topological quantum phase transitions in disordered Majorana nanowires
• Endstates in multichannel spinless p-wave superconducting wires
• Generalized Eilenberger theory for Majorana zero-mode-carrying disordered $p$-wave superconductors
• Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
• Tunnel conductance spectroscopy via harmonic generation in a hybrid capacitor device

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• Measuring Majorana non-locality and spin structure with a quantum dot
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Approaching a topological phase transition in Majorana nanowires
• Parity protected superconducting diode effect in topological Josephson junctions
• Trivial Andreev band mimicking topological bulk gap reopening in the non-local conductance of long Rashba nanowires
• Universal Majorana thermoelectric noise
• Nonlocal conductance spectroscopy of Andreev bound states in gate-defined InAs/Al nanowires
• Nonequilibrium Majorana fluctuations
• Majorana differential shot noise and its universal thermoelectric crossover
• Electron waiting times in hybrid junctions with topological superconductors
• Transport in spinless superconducting wires
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Effect of topological length on Bound states signatures in a Topological nanowire
• Nonlocality of local Andreev conductances as a probe for topological Majorana wires
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Majorana zero modes by engineering topological kink states in two dimensional electron gas
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• Higgs amplitude mode in ballistic superconducting hybrid junctions
• Tomasch Oscillations as Above-Gap Signature of Topological Superconductivity
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Thermoelectric fluctuations of interfering Majorana bound states
• Electrical, thermal and thermoelectric transport in open long-range Kitaev chain
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices